In algebraic quantum field theory the spacetime manifold is replaced by a suitable base for its topology ordered under inclusion. We explain how certain topological invariants of the manifold can be computed in terms of the base poset. We develop a theory of connections and curvature for bundles over posets in search of a formulation of gauge theories in algebraic quantum field theory.
Roberts, J.e., Ruzzi, G., Vasselli, E. (2009). A theory of bundles over posets. ADVANCES IN MATHEMATICS, 220(1), 125-153 [10.1016/j.aim.2008.08.004].
A theory of bundles over posets
ROBERTS, JOHN ELIAS;RUZZI, GIUSEPPE;
2009-01-01
Abstract
In algebraic quantum field theory the spacetime manifold is replaced by a suitable base for its topology ordered under inclusion. We explain how certain topological invariants of the manifold can be computed in terms of the base poset. We develop a theory of connections and curvature for bundles over posets in search of a formulation of gauge theories in algebraic quantum field theory.File in questo prodotto:
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